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Finding the Fourth Proportional to 386.76, 578.00 and 314.70

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Solution

The fourth proportional to 386.76, 578.00 and 314.70 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.76 : 578.00 = 314.70 : x
  2. Step 2: Convert to fraction form
    386.76/578.00 = 314.70/x
  3. Step 3: Cross multiply
    386.76x = 578.00 × 314.70
  4. Step 4: Simplify right side
    386.76x = 181,895.03
  5. Step 5: Solve for x
    x = 181,895.03/386.76
  6. Step 6: Final answer
    x = 470.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.